✦ LIBER ✦

Characters and Hall Subgroups of Groups of Odd Order

✍ Scribed by I.M. Isaacs

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 600 KB
Volume: 157
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1115

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Let A and G be finite groups with coprime orders, and suppose that A acts on G by automorphisms. Let π G A Irr A G → Irr C G A be the Glauberman-Isaacs correspondence. Let B ≤ A and let χ ∈ Irr A G . We examine the conjecture that χπ G A is an irreducible constituent of the restriction of χπ G B to